121122112112001 has 48 divisors (see below), whose sum is σ = 234903490174080. Its totient is φ = 58080533276160.

The previous prime is 121122112111951. The next prime is 121122112112011. The reversal of 121122112112001 is 100211211221121.

It is a happy number.

121122112112001 is a `hidden beast` number, since 1 + 211 + 221 + 1 + 211 + 20 + 0 + 1 = 666.

It is not a de Polignac number, because 121122112112001 - 2⁹ = 121122112111489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121122112112011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6722274936 + ... + 6722292953.

It is an arithmetic number, because the mean of its divisors is an integer number (4893822711960).

Almost surely, 2^{121122112112001} is an apocalyptic number.

121122112112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121122112112001 is a deficient number, since it is larger than the sum of its proper divisors (113781378062079).

121122112112001 is a wasteful number, since it uses less digits than its factorization.

121122112112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13444567926 (or 13444567923 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121122112112001 its reverse (100211211221121), we get a palindrome (221333323333122).

The spelling of 121122112112001 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, one".